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Finding the Fourth Proportional to 216,635.64, 324,800.82 and 83,403.96

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Solution

The fourth proportional to 216,635.64, 324,800.82 and 83,403.96 is: 125,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,635.64 : 324,800.82 = 83,403.96 : x
  2. Step 2: Convert to fraction form
    216,635.64/324,800.82 = 83,403.96/x
  3. Step 3: Cross multiply
    216,635.64x = 324,800.82 × 83,403.96
  4. Step 4: Simplify right side
    216,635.64x = 27,089,674,599.25
  5. Step 5: Solve for x
    x = 27,089,674,599.25/216,635.64
  6. Step 6: Final answer
    x = 125,047.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.